Question 3.1: Let G : <(1)=2+2e“, 0sIs 2n and C, : :(1) =i+e“, 0sisTY (a) Draw the path C, and C2. dz and (ii) dz (b) Calculate (i) --2 : (z-i)'

Q: Example 6 Locate the image of ATRY with vertices T(-4, -6) R(1,3) Y (-6, -1) Reflected over the line…

A: T'=-6,-4R' =3,1Y'=-1,-6

Q: Which of the following is a loop? B E FO OA) BC O C) AE B) DC D Figure 1 D) None of the above

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Q: S. 1.110. Determine whether A dr is independent of the path C joining any two points if (a) A =…

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Q: Suppose the point (4, -2) lies on y = g(x) and the point (4, 5) lies on y = f[g(x)]. Then a point on…

A: Given query is to find the indicated point.

Q: 5. Identify and sketch the graph of the following equations in R. (a) a2 + 2y2 + 22 - 8r + 12y - 2:…

A: We have to sketch the graph of the given functions of three variables x, y and z in the three…

Q: -4.5 -4 -3.5 Select one: O y = y² - 2y None of these. ○ y = y² - 2y O y = y² + 2y -3 -2.5 -2 -1.5…

A: given direction field

Q: B H E RE OF G 3 A E D 2. Determine if each of the graphs above have a Hamiltonian circuit. Explain.

A: Remark: A path begins and ends on the same vertex (i.e., a closed circuit) such that each vertex is…

Q: dz Compute Pc z-1)(z+i)(z-i)' where C is the simple closed path in the following (z-1)(z+i)(z-i) '…

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Q: Determine whether the work done along the path C is positive, negative, or zero. zero O negative O…

A: We know,       work = ∫cF.dr               = ∫c∥F∥∥dr∥ cosθ    where θ is angle between F and drIf…

Q: QUESTION 3 Calculate OF.dr if F= and C is the triangle oriented counterclockwise with vertices at…

A: please see the next step for solution

Q: 29. Calculate /| (xy +e*)ds, where S is the triangle in Figure 18 with vertices (0,0, 3), (1,0, 2),…

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Q: 2. Which of the following is NOT a path in the graph? B E FO OA) FEBA OB) FBCCD OC) FEABCD OD) All…

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Q: d the length of the dashed zig-zag path in the following figure. X+ 0.75+ 0.5+ 0.25+ 00.25 0.5 0.75…

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Q: Question 6: How many different paths in the xyz-space are there from (0,0,0) to (3,4,5) if a path…

A: We have to find the number of paths in the xyz-space from (0.0.0) to (3.4.5) if a path proceeds one…

Q: Show that 6.8) fdx + gdy = Jc.8) (12,16) • (12,16) - (28x³3 By³dx + 35ytx dy) is independent of…

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Q: %24 3. ge 近。 Type here to search 9- 4- -2 7. 6. I- - Ś 9- 4 5 2. 4- 5- 2x 6y 12 Graph:- 9 > hz - x-

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Q: 3.2 Evaluate where z = x + iy with y the path on line from z = 2+i to z = 1 + 2i.

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Q: 2 -5 Let y = -3 and u = -4 -1 3 Compute the distance d from y to the line through u and the origin.…

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Q: Graph the image of kite KLMN after a reflection across the line y = -1. 10 -10 -8 -4 -2 10 -2 -4 7.…

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Q: a 4 5 b) e 3 8 3 4 4 6

A: The shortest weighted path from s to t is the path from s to t with minimum weight. Now find all the…

Q: The points (x, y) and (y, x) are mirror images of each other across the line y = x. Therefore, by…

A: (a) x=y2  mirror image across the line y=x is y=x2

Q: ne graph of the following equations in R3. x+ 12y – 2z + 35 = 0 . Show the traces as well.

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Q: -) Reduce the given q vadratic equotion to canonical equation of a the graph. x2+4²+z²+4xy-4x2…

A: Given equation x2 + y2 + z2 + 4xy - 4xz + 4yz - 2x + y -3z = 0

Q: P(5,3) Sinh (폼+북) x +1oydy (6xdx +10ydy 5 C0,0)

A: To show: The line integral is independent of the path. Given integral:…

Q: 9. Which of the following has focal points at (0, 3) and (4, 3)? 1 (x-2)° , (y-3}, +. -1 49 40…

A: let equation of ellipse is (x-h)2/a2 + (y-k)2/b2 = 1 then coordinates of foci are (h+c,k), (h-c,k)…

Q: 26. Let F(x, y) = (3x + y, a?y) and let C be the path along ry = 2 from (1, 2) to (2, 1). Calculate…

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Q: H.

A: In the given question we have to find the shortest path from A to J and we also determine the length…

Q: 1. Find the coordinates of the image of (-2, 4) under the following reflections. (reflectin (d)…

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Q: Determine the coordinates of the preimage given the image below and the composition of a reflection…

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Q: QUESTION 2 Consider the path r(t)=<7,1+12cost,12sint) in R. Specify the correct answers by selecting…

A: Given rt=7, 1+12cost, 12sint rt can be written as: rt=7,1,0+12cost0,1,0+12sint0,0,1 The…

Q: Graph z(t) = 4eit

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Q: Sketch the root locus for the following system: K G(s)H(s) = whe re K > 0 s(s+1)(s+2)(s+ 4)

A: Given system: GsHs=Kss+1s+2s+4 where K&gt;0. The poles of the given system occur when ss+1s+2s+4=0.…

Q: Problem 19. Suppose 6,c E R, and T:R° – R defined as T (x, y, 2) = (2x – 4y + 3z + b, 6x + cxy). %3D…

A: Since you have posted multiple question according to company policy we are supposed to give solution…

Q: Let a, ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a=0 and 2(1-B)+ 3(1-B)-6B + 12=0 and a + B, also graph of…

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Q: If A = 3.4xyâ + (1.7x² – 6.8y)âŷ, the circulation of A around the closed path shown below is

A: In this question, we have to find the circulation of vector A along the given closed field in fig.…

Q: 17 Paragraph 12 Which of the following satisfies this graph? 2x - 5y ≥ 10 y20 X20 2x + 5y ≤ 10 y20…

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Q: Consider the equation 3r 4y =-24 from problem 8. Use the graph created (not direct substitution) to…

A: topic- linear equations

Q: Example 2 Sketch a graph for y = 2 sin (x +) + 1, x € [0,4m] (show full working out for all…

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Q: Question 4 Let A = psinø a, +p' a,. Evaluate A dl given that L is the path shown in the figure.…

A: Given that, From the line integral of a closed loop ...

Q: Evaluate I = Se(sin æ + 7y) dæ + (3x + y) dy for the nonclosed path ABCD in the figure. А 3 (0,0),…

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Q: nd an Eulerian walk in Figure 3. V5 V3 V6 V2 V1 Figure 3: Graph for Problem 3

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Q: Question 2. a) Is there a linear map T :V → W, where dim V = 3, dim W = 4, rank T = 2, and dim ker T…

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Q: Determine whether the work done along the path C is positive, negative, or zero. /c/ zero negative…

A: For calculating the work done from the field we will have to see the direction of both vector field…

Q: 8 -2 Let y = and u = 1 -6 Compute the distance d from y to the line through u and the origin. d =

A: Solution:

Q: Determine whether the work done along the path C is positive, negative, or zero. negative positive…

A: Consider the provided graph, Determine whether the work is done along the path c is positive…

Q: Question 21 9x + 9y < 81 7x + 15y < 105 Graph: y 2 0 25

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Q: 4. A coin is tossed into the air, with its path graphed below. Path of Coin 3.0f 2.5 2.0 Height…

A: To answer the given questions from the given graph.

Q: Show that Si2 f dæ + g dy + h dz = S - (4xy³z*dx + 6y?x?z4dy + 8z°y³x²dz) is independent of path:…

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Q: Question 4. For the following two graphs, answer the following questions. If your answer is yes,…

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